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Finding the Fourth Proportional to 367.97, 508.29 and 257.81

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Solution

The fourth proportional to 367.97, 508.29 and 257.81 is: 356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.97 : 508.29 = 257.81 : x
  2. Step 2: Convert to fraction form
    367.97/508.29 = 257.81/x
  3. Step 3: Cross multiply
    367.97x = 508.29 × 257.81
  4. Step 4: Simplify right side
    367.97x = 131,042.24
  5. Step 5: Solve for x
    x = 131,042.24/367.97
  6. Step 6: Final answer
    x = 356.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.